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What is the capacitive reactance of a capacitor with a capacitance of 10μF at a
What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
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Practice Questions
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Q1
What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
318.31 ohms
159.15 ohms
31.83 ohms
15.92 ohms
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Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)
Solution:
Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Steps: 6
Show Steps
Step 1: Identify the formula for capacitive reactance (Xc), which is Xc = 1 / (2πfC).
Step 2: Identify the values needed for the formula: frequency (f) is 50 Hz and capacitance (C) is 10μF (which is 10 × 10^-6 F).
Step 3: Substitute the values into the formula: Xc = 1 / (2π × 50 × 10 × 10^-6).
Step 4: Calculate the denominator: 2π × 50 × 10 × 10^-6 = 0.00031416.
Step 5: Calculate Xc by taking the reciprocal of the denominator: Xc = 1 / 0.00031416.
Step 6: Perform the calculation to find Xc: Xc ≈ 318.31 ohms.
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